Pith Number

pith:NJYPKLFM

pith:2003:NJYPKLFMLE3W7DYBWKGAUPRUDQ

not attested not anchored not stored refs pending

Cyclicity of non-associative products on D-branes

A. Kling, M. Herbst, M. Kreuzer

arxiv:hep-th/0312043 v1 · 2003-12-04 · hep-th · math.QA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NJYPKLFMLE3W7DYBWKGAUPRUDQ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

Covariant phase space approach to noncommutativity in tensile and tensionless open strings

Receipt and verification

First computed	2026-07-04T16:41:29.167941Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a70f52cac59376f8f01b28c0a3e341c0acb5e628fd7b61700d8c2b211dba1de

Aliases

arxiv: hep-th/0312043 · arxiv_version: hep-th/0312043v1 · doi: 10.48550/arxiv.hep-th/0312043 · pith_short_12: NJYPKLFMLE3W · pith_short_16: NJYPKLFMLE3W7DYB · pith_short_8: NJYPKLFM

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/NJYPKLFMLE3W7DYBWKGAUPRUDQ \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 6a70f52cac59376f8f01b28c0a3e341c0acb5e628fd7b61700d8c2b211dba1de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f494b40385270dae3a65bfa59bf574dfff20e8af6150a0338c84ca4d77cdc84",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2003-12-04T16:06:00Z",
    "title_canon_sha256": "dbd2b5ba4fb8ad109e7938524f3dd12ac0d608c228dfa3e31002ec513d981fa5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0312043",
    "kind": "arxiv",
    "version": 1
  }
}